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Finding the Third Proportional to 6,461,190 and 10,137,095

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Solution

The third proportional to 6,461,190 and 10,137,095 is: 15,904,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,190 : 10,137,095 = 10,137,095 : x
  2. Step 2: Convert to fraction form
    6,461,190/10,137,095 = 10,137,095/x
  3. Step 3: Cross multiply
    6,461,190x = 10,137,095 × 10,137,095
  4. Step 4: Simplify right side
    6,461,190x = 102,760,695,039,025
  5. Step 5: Solve for x
    x = 102,760,695,039,025/6,461,190
  6. Step 6: Final answer
    x = 15,904,298.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.